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Usimov [2.4K]
3 years ago
9

Malcolm is working full-time and wants to make sure he's saving strategically for four specific goals: an emergency fund ($5000)

, a flight home to see his parents for the holidays ($450), a downpayment on a new car ($3000), and his retirement (2% of his monthly take-home pay). What's his best strategy?
1
Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0

Answer: c. Set up 3 separate savings accounts for the first 3 goals and a retirement investment for the 4th

Step-by-step explanation:

The options are:

a. Put as much as he can every month into an investment, like shares of a company, so his money grows quickly

b. Keep all the money in his checking account so that he can spend it in the different categories as needed

c. Set up 3 separate savings accounts for the first 3 goals and a retirement investment for the 4th

d. Set up 4 separate savings accounts

Based on the information given in the question, the best startegy for Malcolm is to set up 3 separate savings accounts for the first 3 goals and a retirement investment for the 4th.

Since the first three goals include saving for an emergency fund ($5000), saving for a flight home to see his parents for the holidays ($450), and a downpayment on a new car ($3000), the best thing he should do is to set up 3 savings account for the first three goals.

The last goal relates to his retirement which is 2% of his monthly take-home pay, therefore he should set up a retirement investment for the 4th goal.

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Step-by-step explanation:

Let f(A) = \sin A + \csc A, we proceed to transform the expression into an equivalent form of sines and cosines by means of the following trigonometrical identity:

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Since sine is a bounded function between -1 and 1, the only solution that is mathematically reasonable is:

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By means of inverse trigonometrical function, we get the value associate of the function in sexagesimal degrees:

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f(A) = \frac{4\cdot (0.382)^{2}\cdot (0.924)^{2}+1}{2\cdot (0.382)\cdot (0.924)}

f(A) = 2.122

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